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Unit

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Students define a similarity transformation as the composition of basic rigid motions and dilations. Students define two figures to be similar if there is a similarity transformation that takes one to the other.

Students can describe a similarity transformation applied to an arbitrary figure (i.e., not just triangles) and can use similarity to distinguish between figures that resemble each other versus those that are actually similar.

CCSS.Math.Practice.MP3: Common Core State Standards for Mathematics

CCSS.Math.Practice.MP5: Common Core State Standards for Mathematics

CCSS.Math.Practice.MP6: Common Core State Standards for Mathematics

Attend to precision.

CCSS.Math.Practice.MP7: Common Core State Standards for Mathematics

Look for and make use of structure.

CCSS.Math.Content.HSG-SRT.A.2: Common Core State Standards for Mathematics

Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides.

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Students define a similarity transformation as the composition of basic rigid motions and dilations. Students define two figures to be similar if there is a similarity transformation that takes one to the other.

Students can describe a similarity transformation applied to an arbitrary figure (i.e., not just triangles) and can use similarity to distinguish between figures that resemble each other versus those that are actually similar.